Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408bc |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
629600226675523584 = 223 · 3 · 132 · 236 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5521569,-4995618369] |
[a1,a2,a3,a4,a6] |
j |
71018481135016712233/2401734263136 |
j-invariant |
L |
0.39395334428188 |
L(r)(E,1)/r! |
Ω |
0.098488336798789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408ch2 1794b2 |
Quadratic twists by: -4 8 |